Answer:
C
Step-by-step explanation:
From the given coordinates
A(6, 0), B(0, 0) then AB = 6 - 0 = 6
B(0, 0), C(0, 8) then BC = 8 - 0 = 8
To calculate AC use Pythagoras' theorem on the right triangle formed
AC² = AB² + BC² = 6² + 8² = 36 + 64 = 100
Take the square root of both sides, hence
AC = 
= 10
Perimeter = AB + BC + AC = 6 + 8 + 10 = 24 → C
Answer:
Figure 1
Step-by-step explanation:
Congruent shapes are shapes that share the same side lengths and angle measures. In figure 1, we see that all sides and angles are marked equal, thus both shapes are congruent. However, in figure 2, we clearly see that the sides of each of the triangles are different. Thus, the triangles in figure 2 are not congruent.
The answer is 37.68 units^2
Answer:
Step-by-step explanation:
Check to see if the statements are true or false, one at a time.
WZ has the same slope as XY. Look at the rise and the run in this case "Down 1, over 1; down 1, over 1" for both lines, so that's<u> true</u>.
YX (down1, over1) has a slope of -1. ZY (up1, over1) has a slope of +1. (trick question! Same slope but opposite values. In any case YX is not greater.)
WY has a slope "up 1 over 3" or 1/3. Compare it to YZ "up 1, over 1," or 1/1 . So WY is not as steep as YZ, so <u>true</u>.
Y-intercept should be easy! Two lines cross the y-axis at the same point. They are ZW and YZ meeting at Z= -3. So that's <u>True.</u>
XY's y-intercept is 3. XW's is 2. 3 is not less than 2, so that one is <u>false.</u>
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I think the point of this question is to see if you understand slopes and intercepts. I hope this helps. ( It would be less confusing if we could see Y in the graph, ans if the lines were always identified consistently-- not ZW then WZ or YX then XY! )
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In the two hours, he drives 15 (km)
Hope I helped : )
